Question

A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A) = .625 and P(B) = .05. What is P(B/A)?

Answer 1

Answer:P(A/B)=0.08

Step-by-step explanation:

The probability formula to find p(A/B) is :

P(A/B) = p(A n B) / p(A)

Which means that B is contain in A and p(A n B) is p(B)

p(A n B)=p(B)=0.05

p(A)=0.625

Therefore

P(A/B) = p(A n B) / p(A)=p(B) / p(A)

P(A/B)=0.05 / 0.625

P(A/B)=0.08